if the 5th term of an AP is zero , then find relation between 12th and 26 th term.
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Required Answer:-
Given:
- The 5th term of an A.P. is zero.
To find:
- The relation between 12th and 26th term.
Solution:
Formula to calculate the Nth term of an A.P. is,
nth term = a + (n - 1)d
So,
➡ 5th term = a + (5 - 1)d
= a + 4d
It's given that, 5th term is 0
So,
➡ a + 4d = 0
➡ a = -4d — (i)
12th term of the given A.P.
= a + (12 - 1)d
= a + 11d
= (-4d) + 11d (From (i))
= 7d
26th term of the given A.P.
= a + (26 - 1)d
= a + 25d
= -(4d) + 25d
= 21d
26th term/12th term
= 21d/7d
= 21d/7d= 3
Hence, 26th term is 3 times the 12th term if the 5th term of the A.P. is 0.
Learn More:-
- A.P. stands for Arithmetic Progression. It is a sequence/series in which the difference between two consecutive term is same(remains constant).
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